Mathematics, 18.10.2020 08:01 ErrorNameTaken505
Problem:
Michael wants to send some money to his family but he cannot send more than a third of his salary. If he sent $1000 to his family, then what is the maximum possible value for his salary?
Solution:
Let Michael’s salary be x.
From the Question, he CANNOT send more than a third of his salary.
One-third of Michael's Salary is 1/3 x
He sent $1000 to his family. Since he can send an amount that is less than 1/3
of his salary, we have the following:
1/3 x<=$1000
Multiplication property for inequality says: when a positive constant or variable is multiplied or divided on both sides of the inequality, it keeps the inequality equation the same.
To remove the 3 from the denominator, multiply both sides by 3
1/3 x*3<=$1000*3
x<=$1000*3
x<=$3000
Now answer the following Questions:
1. From the solution, we see that 3 is multiplied on both sides, but the inequality sign is not changed/flipped.
a. Why does the inequality sign stay the same?
b. What are the circumstances that would change/flip the inequality sign?
2. Why does the solution use inequality <= _?
3. From the solution what can be the maximum possible salary for Michael?
4. What are the four types of Inequalities?
Answers: 2
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